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The term independent of x in the product...

The term independent of `x` in the product `(4 + x + 7x^2)(x-3/x)^11` is (a) `7*"^(11)C_(6)` (b) `(3)^6*"^(11)C_(6)` (c) `3^(5)*"^(11)C_(5)` (d) `-12*2^(11)`

A

`7*"^(11)C_(6)`

B

`36*"^(11)C_(6)`

C

`3^(5)*"^(11)C_(5)`

D

`-12*2^(11)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` General term of `(x-(3)/(x))^(11)`
`T_(r+1)=^(11)C_(r )x^(11-r)(-(3)/(x))^(r )=^(11)C_(r )x^(11-2r)(-3)^(r )`
`11-2r ne =0`, `-2` so `11-2r=-1` is only possible case
`:.r=6`
`:.` coefficient is `(-3)^(6)^(11)C_(6)`
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